v^2=81/121

Solution for v^2=81/121 equation:

v^2=81/121

We move all terms to the left:

v^2-(81/121)=0

We add all the numbers together, and all the variables

v^2-(+81/121)=0

We get rid of parentheses

v^2-81/121=0

We multiply all the terms by the denominator


v^2*121-81=0

Wy multiply elements

121v^2-81=0

a = 121; b = 0; c = -81;
Δ = b2-4ac
Δ = 02-4·121·(-81)
Δ = 39204
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$v_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$v_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{39204}=198$
$v_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(0)-198}{2*121}=\frac{-198}{242}
=-9/11
$
$v_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(0)+198}{2*121}=\frac{198}{242}
=9/11
$